What is the Greatest Common Factor of 39375 and 39382?

Greatest common factor (GCF) of 39375 and 39382 is 7.

GCF(39375,39382) = 7

We will now calculate the prime factors of 39375 and 39382, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39375 and 39382.

How to find the GCF of 39375 and 39382?

We will first find the prime factorization of 39375 and 39382. After we will calculate the factors of 39375 and 39382 and find the biggest common factor number .

Step-1: Prime Factorization of 39375

Prime factors of 39375 are 3, 5, 7. Prime factorization of 39375 in exponential form is:

39375 = 3² × 5⁴ × 7¹

Step-2: Prime Factorization of 39382

Prime factors of 39382 are 2, 7, 29, 97. Prime factorization of 39382 in exponential form is:

39382 = 2¹ × 7¹ × 29¹ × 97¹

Step-3: Factors of 39375

List of positive integer factors of 39375 that divides 39375 without a remainder.

1, 3, 5, 7, 9, 15, 21, 25, 35, 45, 63, 75, 105, 125, 175, 225, 315, 375, 525, 625, 875, 1125, 1575, 1875, 2625, 4375, 5625, 7875, 13125

Step-4: Factors of 39382

List of positive integer factors of 39382 that divides 39375 without a remainder.

1, 2, 7, 14, 29, 58, 97, 194, 203, 406, 679, 1358, 2813, 5626, 19691

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39375 and 39382. The biggest common factor number is the GCF number.
So the greatest common factor 39375 and 39382 is 7.

Also check out the Least Common Multiple of 39375 and 39382